Precalculus Examples

$e^{5 \ln (x y) - 2 \ln (y) + \ln (2)}$

Step 1

Rewrite $\ln (x y)$ as $\ln (x) + \ln (y)$ .

$e^{5 (\ln (x) + \ln (y)) - 2 \ln (y) + \ln (2)}$

Step 2

Apply the distributive property.

$e^{5 \ln (x) + 5 \ln (y) - 2 \ln (y) + \ln (2)}$

Step 3

Subtract $2 \ln (y)$ from $5 \ln (y)$ .

$e^{5 \ln (x) + 3 \ln (y) + \ln (2)}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$